Esquisse d'une théorie décompositionnelle

L. Gabet

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1996)

  • Volume: 30, Issue: 7, page 799-814
  • ISSN: 0764-583X

How to cite

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Gabet, L.. "Esquisse d'une théorie décompositionnelle." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 30.7 (1996): 799-814. <http://eudml.org/doc/193824>.

@article{Gabet1996,
author = {Gabet, L.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {fixed point; Adomian method; nonlinear operator equations; Banach spaces; contraction operator},
language = {fre},
number = {7},
pages = {799-814},
publisher = {Dunod},
title = {Esquisse d'une théorie décompositionnelle},
url = {http://eudml.org/doc/193824},
volume = {30},
year = {1996},
}

TY - JOUR
AU - Gabet, L.
TI - Esquisse d'une théorie décompositionnelle
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1996
PB - Dunod
VL - 30
IS - 7
SP - 799
EP - 814
LA - fre
KW - fixed point; Adomian method; nonlinear operator equations; Banach spaces; contraction operator
UR - http://eudml.org/doc/193824
ER -

References

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  1. [1] G. ADOMIAN, Stochastic Systems, Academic Press, 1983. Zbl0523.60056MR714710
  2. [2] G. ADOMIAN, Nonlinear Stochastic Operatot Equations, Academic Press, 1986. Zbl0609.60072MR872695
  3. [3] R. E. BELLMAN and G. ADOMIAN, Partial Differential Equations - New Methods for their Treatment and Application, Reidel, 1986. Zbl0557.35003
  4. [4] G. ADOMIAN, Nonlinear Stochastic Systems Theory and Applications to Physics, Kluwer, 1989. Zbl0659.93003MR982493
  5. [5] G. ADOMIAN and R. RACH, Nonlinear stochastic differential-delay equations, J. Math. Anal. and Applic., 1983 91(1). Zbl0504.60067MR688534
  6. [6] G. ADOMIAN and R. RACH, Polynomial nonlineanties in differential equations, J. Math. Anal. and Applic., 1985 109(1). Zbl0606.34009MR796044
  7. [7] G. ADOMIAN and R. RACHE, Algebraic computation and the decomposition method, Kybernetes, 1986 15(1). Zbl0604.60064MR824920
  8. [8] G. ADOMIAN, A review of the decomposition method and some recent results for nonlinear equations, Math. Comput. Modelling, 1990, 13(7), pp. 17-43. Zbl0713.65051MR1071436
  9. [9] G. ADOMIAN, An analytical solution of the stochastic Navier-Stokes System, Foundations of Physics, 1991, 21(7), pp. 831-843. MR1117359
  10. [10] Y. CHERRUAULT, Convergence of Adomian's method, Kybernetes, 1989, 18(2), pp. 31-38. Zbl0697.65051MR1009979
  11. [11] Y. CHERRUAULT, G. SACCOMANDI, B. SOME, New results for convergence of Adomian's method applied to integral equations, Math. Comput. Modelling, 1992, 16(2), pp. 83-93. Zbl0756.65083MR1150946
  12. [12] H. CARTAN, Théorie Elémentaire des Fonctions Analytiques, Hermann, 1985. 
  13. [13] E. RAMIS, C. DESCHAMPS, J. ODOUX, Cours de Mathematiques Spéciales (tome 4), Masson, 1997. Zbl0997.00505

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